What is the answer to log_{x}(27)=-log_{6}(216) ?

The answer to log_{x}(27)=-log_{6}(216) is x= 1/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(27)=-log_{6}(216)

lo g_{x} (27) = - lo g_{6} (216)

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

lo g_{x} (27) = - lo g_{6} (216)

Apply log rules

\frac{1}{lo g _{27} ( x )} = - lo g_{6} (216)

Multiply both sides by

lo g_{27} (x)

\frac{1}{lo g _{27} ( x )} lo g_{27} (x) = - lo g_{6} (216) lo g_{27} (x)

Apply log rules

x = \frac{1}{3}

Verify Solutions:

x = \frac{1}{3}

True

The solution is

x = \frac{1}{3}

10.5 = - lo g_{10} (x)

lo g_{10} ((x) + ln (x)) = 1

ln (4 x + 5) = 3

2 ln (x) = 2

lo g_{3} (- 4 x + 1) = 4

What is the answer to log_{x}(27)=-log_{6}(216) ?
The answer to log_{x}(27)=-log_{6}(216) is x= 1/3
Solve for x: log_{x}(27)=-log_{6}(216)
The solution is x= 1/3